In: Statistics and Probability
Your probability professor has been dedicating part of the time she used to spend commuting to doing longer yoga practices. She took a random sample of her yoga practices since Hofstra has ceased in-person classes and found 3 under ten minutes and 19 over ten minutes. Construct a 99% confidence interval for the proportion of her yoga practices that will be over ten minutes given her current lifestyle.
We need to construct the 99% confidence interval for the population proportion. We have been provided with the following information about the number of favorable cases:
Favorable Cases X = | 19 |
Sample Size N = | 22 |
The sample proportion is computed as follows, based on the sample size N=22 and the number of favorable cases X=19:
The critical value for α=0.01 is . The corresponding confidence interval is computed as shown below:
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